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1012000122 = 23378393191
BaseRepresentation
bin111100010100011…
…110010101111010
32121112020221012000
4330110132111322
54033033000442
6244230401430
734035600450
oct7424362572
92545227160
101012000122
1147a27a741
12242b00276
1313187c253
14985929d0
155dca1d4c
hex3c51e57a

1012000122 has 64 divisors (see below), whose sum is σ = 2574028800. Its totient is φ = 288707760.

The previous prime is 1012000117. The next prime is 1012000139. The reversal of 1012000122 is 2210002101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315547 + ... + 318737.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 21012000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287014400).

1012000122 is an abundant number, since it is smaller than the sum of its proper divisors (1562028678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012000122 is a wasteful number, since it uses less digits than its factorization.

1012000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1012000122 is about 31811.9493586922. The cubic root of 1012000122 is about 1003.9841461653.

Adding to 1012000122 its reverse (2210002101), we get a palindrome (3222002223).

The spelling of 1012000122 in words is "one billion, twelve million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 839 1678 2517 3191 5034 5873 6382 7551 9573 11746 15102 17619 19146 22337 22653 28719 35238 44674 45306 52857 57438 67011 86157 105714 134022 158571 172314 201033 317142 402066 603099 1206198 2677249 5354498 8031747 16063494 18740743 24095241 37481486 48190482 56222229 72285723 112444458 144571446 168666687 337333374 506000061 1012000122